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Finding the Fourth Proportional to 355,184.50, 532,869.10 and 105,866.50

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Solution

The fourth proportional to 355,184.50, 532,869.10 and 105,866.50 is: 158,827.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,184.50 : 532,869.10 = 105,866.50 : x
  2. Step 2: Convert to fraction form
    355,184.50/532,869.10 = 105,866.50/x
  3. Step 3: Cross multiply
    355,184.50x = 532,869.10 × 105,866.50
  4. Step 4: Simplify right side
    355,184.50x = 56,412,986,575.15
  5. Step 5: Solve for x
    x = 56,412,986,575.15/355,184.50
  6. Step 6: Final answer
    x = 158,827.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.